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Finding the Fourth Proportional to 210.95, 316.31 and 73.98

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Solution

The fourth proportional to 210.95, 316.31 and 73.98 is: 110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.95 : 316.31 = 73.98 : x
  2. Step 2: Convert to fraction form
    210.95/316.31 = 73.98/x
  3. Step 3: Cross multiply
    210.95x = 316.31 × 73.98
  4. Step 4: Simplify right side
    210.95x = 23,400.24
  5. Step 5: Solve for x
    x = 23,400.24/210.95
  6. Step 6: Final answer
    x = 110.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.